A model of varicella-zoster reactivation

Jonathan E. Forde; Bailey Meeker; Jonathan E. Forde; Bailey Meeker

doi:10.3934/mbe.2010.7.765

Mathematical Biosciences and Engineering

2010, Volume 7, Issue 4: 765-777. doi: 10.3934/mbe.2010.7.765

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A model of varicella-zoster reactivation

1.
Department of Mathematics and Computer Science, Hobart and William Smith Colleges, Geneva, NY 14456
2.
Department of Mathematics, University of California, Davis, CA 95616

Received: 01 January 2010 Accepted: 29 June 2018 Published: 01 October 2010
MSC : Primary: 92C99; Secondary: 34C25, 34C23.

Mathematical models have been used to study the dynamic interaction of many infectious diseases with the host's immune system. In this paper, we study Varicella Zoster Virus, which is responsible for chicken pox (varicella), and after a long period of latency, herpes zoster (shingles). After developing the model and demonstrating that is exhibits the type of periodic behavior necessary for long term latency and reactivation, we examine the implications of the model for vaccine booster programs aimed at preventing herpes zoster.
- mathematical model.,
- periodic solutions,
- latency,
- vaccine booster,
- VZV,
- chronic infection
Citation: Jonathan E. Forde, Bailey Meeker. A model of varicella-zoster reactivation[J]. Mathematical Biosciences and Engineering, 2010, 7(4): 765-777. doi: 10.3934/mbe.2010.7.765

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Abstract

Mathematical models have been used to study the dynamic interaction of many infectious diseases with the host's immune system. In this paper, we study Varicella Zoster Virus, which is responsible for chicken pox (varicella), and after a long period of latency, herpes zoster (shingles). After developing the model and demonstrating that is exhibits the type of periodic behavior necessary for long term latency and reactivation, we examine the implications of the model for vaccine booster programs aimed at preventing herpes zoster.
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